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math.CA2024
A new look at subrepresentation formulas
Cong Hoang, Kabe Moen, Carlos Pérez
We extend the subrepresentation formula in several ways. First, we consider more general -potential operators on the right-hand side an…
math.CA2024
New pointwise bounds by Riesz potential type operators
Cong Hoang, Kabe Moen, Carlos Pérez
We investigate new pointwise bounds for a class of rough integral operators, , for a parameter that includes classical rough singular integrals of Calderón and Zyg…
math.CA2023★ 1 cited
A homage to Guido Weiss and his leadership of the Saint Louis team: Commutators of Singular Integrals and Sobolev inequalities
Cong Hoang, Kabe Moen, Carlos Pérez
We extend some classical Sobolev-type inequalities for linear and non-linear commutators.
math.CA2023
Pointwise estimates for rough operators with applications to Sobolev inequalities
Cong Hoang, Kabe Moen, Carlos Pérez
We investigate Sobolev inequalities for several rough operators. We prove that several operators satisfy a pointwise bound by the Riesz potential applied to the gradient. From this…